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A store sells tents, sleeping bags, and camp stools.
A customer buys a tent, 5 sleeping bags, and 2 camp stools for $231.
The cost of the sleeping bag is $21 more than the cost of a camp stool.
Find the cost of each item.
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Let x be the price for a camp chair (in dollars).
Then the price for each sleeping bag is (x+21) dollar;
5 sleeping bags cost 5(x+21) dollars.
Let y be the price for the tent.
Then we have one single equation for the total cost
x + 5(x+21) + y = 231,
or
6x + 105 + y = 231,
6x + y = 231 - 105
6x + y = 126.
Thus we have one equation for two unknowns.
It is not enough to find two unknowns.
The conclusion is that the problem is INCOMPLETE: it does not provide enough information to be solved.
ANSWER. The problem is INCOMPLETE: it does not provide enough information to be solved.
Solved, answered and explained in full.
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In short terms, the problem is DEFECTIVE.